The details matter here: If you are a H-1B dependent employer ( 8 H-1B workers if the company is < 26 total employees, 13 if 26-50, and 15% of workforce if 50+

The details matter here: If you are a H-1B dependent employer ( 8 H-1B workers if the company is < 26 total employees, 13 if 26-50, and 15% of workforce if 50+) then: You can either (1) prove that no US citizen is being displaced and no suitable US citizen could be recruited, or (2) pay the dependent employer exempt minimum wage of $130k. In the case of (1), or if you are not considered H-1B dependent, you still need to pay the prevailing wage for the job (which as you mentioned is likely low for postdocs).